A hotel lobby can seat 23 people at chairs and loveseats. The lobby has a total of 16 pieces of furniture for seating. Assuming a chair seats 1 person and a loveseat seats 2, how many loveseats are in the lobby?

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Question

A hotel lobby can seat 23 people at chairs and loveseats. The lobby has a total of 16 pieces of furniture for seating. Assuming a chair seats 1 person and a loveseat seats 2, how many loveseats are in the lobby?

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shubhamsrg · Answer

If number of chairs is x and number of loveseats y,
then x+2y = 23
Also , you are given the value of x+y
Just solve those equations simultaneously for y.